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120122120320 = 275296472097
BaseRepresentation
bin110111111011111010…
…1100001100010000000
3102111001111221222002021
41233313311201202000
53432002230322240
6131103333531224
711451511114216
oct1576765414200
9374044858067
10120122120320
1146a41894a04
121b3447a3b14
13b4345a4407
145b57654cb6
1531d0a7954a
hex1bf7d61880

120122120320 has 64 divisors (see below), whose sum is σ = 297069298200. Its totient is φ = 46391984128.

The previous prime is 120122120303. The next prime is 120122120387. The reversal of 120122120320 is 23021221021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 115420549696 + 4701570624 = 339736^2 + 68568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120122120294 and 120122120303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217489 + ... + 3254608.

Almost surely, 2120122120320 is an apocalyptic number.

120122120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122120320 is an abundant number, since it is smaller than the sum of its proper divisors (176947177880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120122120320 is an equidigital number, since it uses as much as digits as its factorization.

120122120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472145 (or 6472133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120122120320 its reverse (23021221021), we get a palindrome (143143341341).

The spelling of 120122120320 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 6472097 12944194 25888388 32360485 51776776 64720970 103553552 129441940 187690813 207107104 258883880 375381626 414214208 517767760 750763252 828428416 938454065 1035535520 1501526504 1876908130 2071071040 3003053008 3753816260 4142142080 6006106016 7507632520 12012212032 15015265040 24024424064 30030530080 60061060160 120122120320